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Finding the Fourth Proportional to 2,129.15, 2,938.07 and 1,532.59

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Solution

The fourth proportional to 2,129.15, 2,938.07 and 1,532.59 is: 2,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.15 : 2,938.07 = 1,532.59 : x
  2. Step 2: Convert to fraction form
    2,129.15/2,938.07 = 1,532.59/x
  3. Step 3: Cross multiply
    2,129.15x = 2,938.07 × 1,532.59
  4. Step 4: Simplify right side
    2,129.15x = 4,502,853.19
  5. Step 5: Solve for x
    x = 4,502,853.19/2,129.15
  6. Step 6: Final answer
    x = 2,114.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.